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Additive noise induces front propagation.

M G Clerc1, C Falcon, E Tirapegui

  • 1Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Chile, Casilla 487-3, Santiago, Chile.

Physical Review Letters
|May 21, 2005
PubMed
Summary
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Additive noise can drive the propagation of static fronts by converting random fluctuations into directed motion. This phenomenon, observed in simulations, leads to a new understanding of front dynamics.

Area of Science:

  • Physics
  • Nonlinear Dynamics
  • Statistical Physics

Background:

  • Investigating the behavior of fronts connecting different stable states.
  • Understanding the influence of external perturbations on pattern formation.

Purpose of the Study:

  • To study the effect of additive noise on static fronts.
  • To understand the mechanism of noise-induced front propagation.
  • To derive an analytical model for front velocity.

Main Methods:

  • Numerical simulations of front dynamics.
  • Analysis of noise-induced fluctuations.
  • Development of a prototype model with noise.
  • Analytical derivation of front velocity.

Main Results:

Related Experiment Videos

  • Additive noise induces propagation of static fronts.
  • Noise converts random fluctuations into directed motion.
  • Asymmetric perturbation requirements for bump nucleation/destruction drive propagation.
  • An analytical expression for front velocity was derived.

Conclusions:

  • Noise-induced front propagation is a key phenomenon in systems with stable states.
  • The derived analytical model accurately predicts front velocity.
  • This work provides insights into pattern formation and dynamics in the presence of noise.